This task is about completing number pairs and writing equations for 'number machines'.

This is a machine that changes numbers. If you put 3 into the machine 16 comes out. If you put 2 into the machine 11 comes out. If you put 8 into the machine 41 comes out.

a) |
Complete the following number pairs using the rule for the number machine.
(2, 11) (3, 16) (4, ____ ) (6, ____ ) (8, 41) (9, ____ ) |

b) |
Write an equation to show the rule for the number machine. Use to represent the number going in to the machine.n |

c) |
Machine B produces different numbers. Complete the following number pairs to show the pattern for Machine B.
(2, 12) (3, 19) (4, ____ ) (6, ____ ) (8, 54) (9, ____ ) |

d) |
Write an equation to show the rule for Machine B. Use to represent the number going in to the machine.n |

e) |
Machine C also produces different numbers. Complete the following number pairs to show the pattern for Machine C.
(2, 7) (3, 12) (4, ____ ) (6, ____ ) (8, 37) (9, ____ ) |

f) |
Write an equation to show the rule for Machine C. Use to represent the number going in to the machine.n |